1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 261/33 | Equatix

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Question

$$261/33$$

Evaluate

$\frac{87}{11}\approx 7.909090909$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $261$

$$\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)261}\\\end{array}$$

Since $2$ is less than $33$, use the next digit $6$ from dividend $261$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)261}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $261$

$$\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)261}\\\end{array}$$

Since $26$ is less than $33$, use the next digit $1$ from dividend $261$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{33)}00\phantom{4}\\33\overline{)261}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $261$

$$\begin{array}{l}\phantom{33)}00\phantom{5}\\33\overline{)261}\\\end{array}$$

Find closest multiple of $33$ to $261$. We see that $7 \times 33 = 231$ is the nearest. Now subtract $231$ from $261$ to get reminder $30$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{33)}007\phantom{6}\\33\overline{)261}\\\phantom{33)}\underline{\phantom{}231\phantom{}}\\\phantom{33)9}30\\\end{array}$$

Since $30$ is less than $33$, stop the division. The reminder is $30$. The topmost line $007$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7$.

$$\text{Quotient: }7$$ $$\text{Reminder: }30$$

Show Solution

Factor

$\frac{3 \cdot 29}{11} = 7\frac{10}{11} = 7.909090909090909$